312316368 has 160 divisors (see below), whose sum is σ = 1002602496. Its totient is φ = 81575424.

The previous prime is 312316349. The next prime is 312316369. The reversal of 312316368 is 863613213.

It is a super-2 number, since 2×312316368² = 195083027441422848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312316369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554455 + ... + 555017.

Almost surely, 2^312316368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312316368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501301248).

312316368 is an abundant number, since it is smaller than the sum of its proper divisors (690286128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312316368 is a wasteful number, since it uses less digits than its factorization.

312316368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 715 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 312316368 is about 17672.4748691291. The cubic root of 312316368 is about 678.4714570549.

It can be divided in two parts, 3123 and 16368, that added together give a palindrome (19491).

The spelling of 312316368 in words is "three hundred twelve million, three hundred sixteen thousand, three hundred sixty-eight".